Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596b |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-8240637240576 = -1 · 28 · 33 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 -6 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1521,136214] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1014:1] [127:1542:1] |
Generators of the group modulo torsion |
j |
11664/247 |
j-invariant |
L |
10.126662714069 |
L(r)(E,1)/r! |
Ω |
0.55099086312834 |
Real period |
R |
0.76579179044854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596a1 8892c1 |
Quadratic twists by: -3 13 |